They have been measured in detail, and match what would be expected if small thermal variations, generated by quantum fluctuations of matter in a very tiny space, had expanded to the size of the observable universe we see today.

Depending upon the application, detail can be dropped from the data to save storage space.

He conceived of a space station in detail and calculated its geostationary orbit.

In detail, if V is a finite-dimensional complex vector space with nondegenerate bilinear form g, the Clifford algebra is the algebra generated by V along with the anticommutation relation.

He conceived a space station in detail and was the first man to calculate the geostationary orbit, on which the station would orbit the Earth.

To examine each in detail would take too much space here, but two viewpoints summarise the arguments around them.

The computation of a null space basis using the QR decomposition is explained in more detail below.

He conceived a space station in detail and was the first man to calculate the geostationary orbit, on which the station would orbit the Earth.

( This could be a " continuously indexed basis " or a mixture of continuous and discrete indexes, in which case we would have to use a rigged Hilbert space and be more careful about what we mean by orthonormal but that's an inessential detail for expository purposes.

Tereshkova's life and spaceflight were first examined ( in the west ) in the 1975 book: It Is I, Sea Gull ; Valentina Tereshkova, the first woman in space by Mitchel R. Sharpe and then again in greater detail of her life and spaceflight in the 2007 book Into That Silent Sea by Colin Burgess and Francis French, including interviews with Tereshkova and her colleagues.

For reasons not yet understood in detail, sometimes these structures lose stability, leading to coronal mass ejections into interplanetary space, or flares, caused by sudden localized release of magnetic energy driving copious emission of ultraviolet and X-ray radiation as well as energetic particles.

Naturally, as the remainder of this article explains in technical detail, the general concepts described in this non-technical explanation of anti de Sitter space have a much more rigorous and precise mathematical and physical description.

Where the space of the paintings appears flat and perplexing, a balance is found in multiple entry points and equal attention to every detail whether it is the king's action, a servant's gesture or the ruby red of a bowl of pomegranates.

This detail did not change the basic equation for the Bolshevik government in Moscow, however, which continued to see the establishment of a Far Eastern Republic as a sort of Treaty of Brest-Litovsk in the east, providing the regime with a necessary breathing space that would allow it to recover economically and militarily.

In greater detail, given a finite-dimensional vector space V of dimension n we can consider the symmetric algebra S ( S < sup > r </ sup >( V )) of the polynomials of degree r over V, and the action on it of GL ( V ).

The STS 41-G mission was later described in detail in the book Oceans to Orbit: The Story of Australia's First Man in Space, Paul Scully-Power by space historian Colin Burgess.

This merging of connected components can be studied in fine detail by passing from a modular scheme to a rigid analytic space, where supersingular points are replaced by discs of positive radius.

In visual art, horror vacui (; from Latin " fear of empty space ", which might be represented by white spots ), also cenophobia (, from Greek " fear of the empty "), is the filling of the entire surface of a space or an artwork with detail.

The logistics of space travel at near-light speeds is explored in the novel in some detail, albeit with some errors for the sake of dramatic tension.

The feature was first identified in 1994 by astronomers using the Hubble Space Telescope at infrared wavelengths, and has recently been imaged in more detail by the Cassini space probe.

The following charts detail the amount of federal funding allotted to the National Aeronautics and Space Administration ( NASA ) each year over its past fifty year history ( 1958 – 2008 ) to operate aeronautics research, unmanned planetary and manned space exploration programs.

His images eliminated unnecessary detail, emphasized dynamic diagonal composition, and were concerned with the placement and movement of objects in space.

The replies from each individual town are not given in detail because the questions asked the personal opinion of the several assessors and are not necessarily the established policy of the town in each case.

Yet no detail was too small to receive attention from this master, and as a result the playing here has humor, delicacy, and radiant humanity.

I am sure that nothing within me is capable of composing that life-like sequence, so complete in detail, from the hodge-podge of news pictures I have seen.

As early as 1900 a Wall Street combination acquired detail patents with the intention of exacting heavy tribute from automobile manufacturers.

For those affiliated with it, the A.L.A.M. pool was a haven from the infringement actions involving detail patents that beset the industry with mounting intensity after 1900.

This is not only a compliment to Mijbil, of whom there are a fine series of photographs and drawings in the book, but to the author who has catalogued the saga of a frightened otter cub's journey by plane from Iraq to London, then by train ( where he lay curled in the wash basin playing with the water tap ) to Camusfearna, with affectionate detail.

Clockwise from upper left: a self-portrait from Vincent van Gogh, an African Chokwe people | Chokwe statue, detail from the The Birth of Venus ( Botticelli ) | Birth of Venus by Sandro Botticelli and a Japanese Shisa | Shisa lion

The first book assumes that gamemasters will set their campaigns after the Patternfall war ; that is, after the end of the fifth book in the series, The Courts of Chaos, but uses material from the following books to describe those parts of Zelazny's cosmology that were featured there in more detail.

In another study of ancient DNA published by the same authors in 2011, both the control and coding regions of mitochondrial DNA ( mtDNA ) recovered from Jomon skeletons excavated from the northernmost island of Japan, Hokkaido, were analyzed in detail, and 54 mtDNAs were confidently assigned to relevant haplogroups.

This detail from Salvator Mundi, an unfinished oil painting on wood, reveals Dürer's highly detailed preparatory drawing.

The question of moral duties towards animals and of negative karma incurred from violence against them is discussed in detail in some Hindu scriptures and religious lawbooks.

Rules can range from the very simple, as in tic-tac-toe, to those describing a game universe in great detail, as in Dungeons & Dragons ( although most of the latter are role-playing games where the board is secondary to the game, helping to visualize the game scenario ).

Saint Benedict of Nursia ( c. 480 – 543 ), detail from a fresco by Fra Angelico, Saint Mark's Basilica | San Marco, Florence ( c. 1400 – 1455 ).

Historical accounts from medieval Europe detail the use of infected animal carcasses, by Mongols, Turks and other groups, to infect enemy water supplies.

The inscription states in detail that the rebellions, which had resulted from the deaths of Cyrus the Great and his son Cambyses II, were orchestrated by several impostors and their co-conspirators in various cities throughout the empire, each of whom falsely proclaimed kinghood during the upheaval following Cyrus's death.

Theodosius I was the last Roman emperor who ruled over an undivided empire ( detail from the Obelisk at the Hippodrome of Constantinople

In cladograms, the clade the authors are most interested in is usually shown in greater detail and as far away from the root – the base – as possible, commonly in the top left corner ( if the root is at the bottom ) or, like in the diagram above, at the bottom ( if the root is to the left or right ).

Recurring characters on SNL played by Guest include Frankie, of Willie and Frankie ( coworkers who recount in detail physically painful situations in which they have found themselves, remarking laconically " I hate when that happens "); Herb Minkman, a shady novelty toymaker with a brother named Al ( played by Crystal ); Rajeev Vindaloo, an eccentric foreign man in the same vein as Andy Kaufman's Latka character from Taxi ; and Senor Cosa, a Spanish ventriloquist often seen on the recurring spoof of The Joe Franklin Show.

The results are broadly consistent with those expected from cosmic inflation as well as various other competing theories, and are available in detail at NASA's data bank for Cosmic Microwave Background ( CMB ) ( see links below ).

Today, scan the barcode ( usually EAN or Universal Product Code ( UPC )) for each item, retrieve the price from a database, calculate deductions for items on sale ( or, in British retail terminology, " special offer ", " multibuy " or " BOGOF "), calculate the sales tax or VAT, calculate differential rates for preferred customers, actualize inventory, time and date stamp the transaction, record the transaction in detail including each item purchased, record the method of payment, keep totals for each product or type of product sold as well as total sales for specified periods, and do other tasks as well.

Coming from this phenomenological perspective on culturally mediated and socially situated action, Holzkamp launched a devastating and original methodological attack on behaviorism ( which he termed S – R ( stimulus – response ) psychology ) based on linguistic analysis, showing in minute detail the rhetorical patterns by which this approach to psychology creates the illusion of " scientific objectivity " while at the same time losing relevance for understanding culturally situated, intentional human actions.

Following Earnhardt's death, a police investigation and a NASCAR-sanctioned investigation commenced ; nearly every detail was made public, from the finding of a torn seatbelt inside Earnhardt's car to graphic descriptions of the injuries Earnhardt had suffered at the moment of impact.